Chaos control in josephson junction using feedback linearization technique

Abstract

In this paper, the shunted nonlinear resistive-capacitive-inductance junction (RCLSJ) model of Josephson Junction is considered due to potential high-frequency applications. This junction shows the chaotic behaviors under some parameter conditions. Because the chaotic motion is undesirable, the chaos control in Josephson Junction is discussed in this paper. In order to remove chaotic behaviors in the RCLSJ model of Josephson Junction, a nonlinear controller based on feedback linearization method is developed. With the abilities of exact cancellation of nonlinear terms, the developed controller can not only eliminate the chaotic oscillations in Josephson Junction but also generates the stable voltage which may be desirable for future applications regardless of the chaotic region of the junction’s parameters. The numerical simulations are carried out to verify the validity of the proposed control approach and the obtained results demonstrate the perfect performance of the developed controller.